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22010113201320 = 23325371652410901
BaseRepresentation
bin1010000000100101000001…
…11110101001010010101000
32212221010221122002012202200
411000102200332221102220
510341103202434420240
6114451150104100200
74431115060225626
oct500224076512250
985833848065680
1022010113201320
117016489110742
12257585a464660
13c38710b1baaa
1456141bcda516
15282800b32930
hex1404a0fa94a8

22010113201320 has 96 divisors (see below), whose sum is σ = 73466188702920. Its totient is φ = 5710732070400.

The previous prime is 22010113201303. The next prime is 22010113201399. The reversal of 22010113201320 is 2310231101022.

22010113201320 is a `hidden beast` number, since 2 + 2 + 0 + 10 + 11 + 320 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22009740634116 + 372567204 = 4691454^2 + 19302^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22010113201293 and 22010113201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826192131 + ... + 826218770.

Almost surely, 222010113201320 is an apocalyptic number.

22010113201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010113201320 is an abundant number, since it is smaller than the sum of its proper divisors (51456075501600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010113201320 is a wasteful number, since it uses less digits than its factorization.

22010113201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652410955 (or 1652410948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22010113201320 its reverse (2310231101022), we get a palindrome (24320344302342).

The spelling of 22010113201320 in words is "twenty-two trillion, ten billion, one hundred thirteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 1652410901 3304821802 4957232703 6609643604 8262054505 9914465406 13219287208 14871698109 16524109010 19828930812 24786163515 29743396218 33048218020 39657861624 49572327030 59486792436 61139203337 66096436040 74358490545 99144654060 118973584872 122278406674 148716981090 183417610011 198289308120 244556813348 297433962180 305696016685 366835220022 489113626696 550252830033 594867924360 611392033370 733670440044 917088050055 1100505660066 1222784066740 1467340880088 1834176100110 2201011320132 2445568133480 2751264150165 3668352200220 4402022640264 5502528300330 7336704400440 11005056600660 22010113201320